3. Consider a pdf f so that a random variable X~ f has expected value E[X] = 3 and variance V[X] = 10. Now consider n = 10 i.i.d. random variables X1, X2,..., X10 drawn from f. Let X = 10 (a) What is E[X]? (b) What is VIX]? (c) What is the standard deviation of X? 10 ₁=1 Xi.

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A: S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)  (3,1) (3,2) (3,3)…

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A: Mammal Bird Reptile Amphibian Fish Endangered 68 76 14 13 76 Threatened 13 15 23 10 61

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A:

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Q: Let N ≥ 2 be an integer. We can consider {0, 1, · · · , N − 1} to be a “circle” by assuming that N −…

A: Here, the states space S is : S={0,1,2,3,...,N-1}={0,1,2,3,4,5} since (N=6) Also, from the given…

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A: 7 freshmen, 5 sophomores, 8 juniors, and 3 seniors  Total=23

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A: The two games are:   Game 1:   Win $30 with a probability of 0.5                  Lose $1 with a…

Q: h penalty. If a random sample of n = 1234 ns yielded y = 864 who favored the death find an…

A: Sample size n =1234 Favorable cases y Sample proportion p^=y/n =864/1234 =0.7002

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A: Suppose 1% of the people in California have a certain type of cancer. The state is considering…

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A: Let X be an arbitrary random variable with mean μ    & Standard deviation σ n=100

Q: F, the distribution of a random variable X, is given by t2-1 -1≤720 ०८८८/ 12 + + 7/2 1≤tc2 tzz 14 t…

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Q: Let X be a standard normal random variable. Find the following probabilities: 1. P₁ = P(X> 0). 2. P₂…

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A: A simple random sample of 50 items from a population with σ = 8 and resulted in a sample mean of 36.…

Q: 1. 1. Express P(A) in terms of x. 2. Express P(B) in terms of x. 2. Find the value of x. 3. Find…

A:

Q: There are 10 yellow marbles, 12 red marbles and 8 white marbles in a box.  If one marble is…

A: Answer: From the given data, Number of yellow marbles in the box = 10 Number of red marbles in the…

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A: Answer: From the given data, Sue can shovel snow from her driveway in 35 minutes. Bill can do the…

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Q: Recent BASEBALL Team Payrolls and Wins Team Payroll Wins Boston Red Sox 197.041 93 Cleveland Indians…

A: Recent BASEBALL Team Payrolls and Wins     Team Payroll Wins Boston Red Sox 197.041 93…

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A: Steps for regression analysis in excel 1) Open excel  2)Enter data 3) Go to Data > data analysis…

Q: Let X be a random variable with E[X] = 0 and Var(X) = 8. Let Y = 3X + 7. 1. Find the expectation…

A: From the provided information, E[X] = 0 and Var(X) = 8 Y = 3X + 7

Q: (a) Two ordinary dice with faces labelled 1,..., 6 are thrown. What is the probability distribution…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: A team of 17 softball players needs to choose three players to refill the water cooler. What two…

A: Total players = 17    we need to choose three players to refill the water cooler.

Q: Use the certainty equivalent approach to assess your utility function for wealth over a range of…

A: a. Certainty Equivalents: U(100) = 0U(20,000) = 1U(1000) = 0.5 U(100) + 0.5 U(20,000) = 0.5U(2500) =…

Q: (a) Find P(2 < X <3). (b) Find the CDF of X. (c) Finf E(X).

A:

Q: Butch has a collection of 60 vinyl records from throughout the 20th century including seven from the…

A: no.of vinyl records from 40s=7no.of vinyl records from 50s=8no.of vinyl records from 60s=7no.of…

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A: GIVEN DATA : A rod of length l which break it at 1 random point to get 2 pieces.…

Q: For a t distribution with 19 degrees of freedom, find the area, or probability, in each region.…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: Given a family with three children, find the probability of the event. All are boys. The probability…

A: Given that A family with three children, i.e,   The total number of possible outcomes is…

Q: K When playing American roulette, the croupier (attendant) spins a marble that lands in one of the…

A:

Q: In a game, two coins are tossed. If either of the coins comes up heads, you have won a prize. To…

A: Given, a game of tossing two coins.

Q: A teacher has a box that contains 6 red and 12 blue pencils. A student takes two pencils from the…

A: We have given that  Number of red pencil = 6  Number of blue pencil = 12 Total number of pencil = 6…

Q: You draw one card from a 52 card deck. Find the probability of drawing a queen or a red card

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: For mutually exclusive events R₁, R₂, and R3, we have P(R₁) = 0.05, P(R₂) = 0.5, and P(R3) = 0.45.…

A: P(R1) = 0.05P(R2) = 0.5P(R3) = 0.45P(Q|R1) = 0.5P(Q|R2) = 0.7P(Q|R3) = 0.4P(R1|Q) = ?

Q: Suppose that you wish to estimate the difference between mean pH measurements of rainfalls in two…

A: The margin of error is 0.1, the confidence level is 95%, the population variance for first sample is…

Q: 2) 6 committee members are chosen from 10 Parents and 15 Teachers. Find the number of committees…

A: no.of parents=10 no.of teachers=15

Q: If a number is chosen randomly from the set of numbers {1, 2, 3, 4, ..., 17), find the probability…

A: The given set of numbers are 1,2,3,4,...,17.

Q: 2. Suppose that the continuous random variables X and Y have the joint density function [6xy² x, y =…

A: Solution-: Given that the continuous random variables X and Y have the joint density function…

Q: 1. Construct a 95% confidence interval to estimate the mean study hours per week for Wingate male…

A: To construct a 95% confidence interval to estimate the mean study hours per week for Wingate male…

Q: X:   10 20 30 40 P(X): 0.25 0.25 0.4 0.1 Find the mean of the above probability distribution?

A: X 10 20 30 40 P(X) 0.25 0.25 0.4 0.1

Q: From the sample space S = {1, 2, 3, 4,..., 15} a single number is to be selected at random. Given…

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Q: Find the mode for the data set given below 53,62,75,63,73,51,63,78,52,63

A: Answer: Given data set is, 53,62,75,63,73,51,63,78,52,63 Sample size (n) = 10

Q: You pick a card at random. 5 6 7 8 What is P(6 or less than 8)?

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A: P(h)=0.4700 P(t)=0.5300